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Simplifying 1 + 2x = 2(2x + 2) + -3(x + -3) Reorder the terms: 1 + 2x = 2(2 + 2x) + -3(x + -3) 1 + 2x = (2 * 2 + 2x * 2) + -3(x + -3) 1 + 2x = (4 + 4x) + -3(x + -3) Reorder the terms: 1 + 2x = 4 + 4x + -3(-3 + x) 1 + 2x = 4 + 4x + (-3 * -3 + x * -3) 1 + 2x = 4 + 4x + (9 + -3x) Reorder the terms: 1 + 2x = 4 + 9 + 4x + -3x Combine like terms: 4 + 9 = 13 1 + 2x = 13 + 4x + -3x Combine like terms: 4x + -3x = 1x 1 + 2x = 13 + 1x Solving 1 + 2x = 13 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 2x + -1x = 13 + 1x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = 13 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 1x = 13 + 0 1 + 1x = 13 Add '-1' to each side of the equation. 1 + -1 + 1x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 13 + -1 1x = 13 + -1 Combine like terms: 13 + -1 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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